Latest Maharashtra State Board (SSC & HSC) 2026-27 Syllabus Digest & Solutions Updated!
Class 12 (HSC Board)Commerce Mathematics & Statistics2026-27 Syllabus

Chapter 5 Index Numbers Miscellaneous Exercise 5 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 5 Index Numbers Miscellaneous Exercise 5. Step-by-step solved exercises, numerical problems, and digest answers.

58 Solved Questions63 Diagrams1325 words

Balbharati Maharashtra State Board12th Commerce Maths Solution Book PdfChapter 5 Index Numbers Miscellaneous Exercise 5 Questions and Answers.

Maharashtra State Board 12th Commerce Maths Solutions Chapter 5 Index Numbers Miscellaneous Exercise 5

(I) Choose the correct alternative.

Question 1 Maharashtra Board Solution
Price Index Number by Simple Aggregate method is given by
Solution & Step-by-Step Answer:
(c)

Question 2 Maharashtra Board Solution
Quantity Index Number by Simple Aggregate Method is given by
Solution & Step-by-Step Answer:
(c)

Question 3 Maharashtra Board Solution
Value Index Number by Simple Aggregate Method is given by
Solution & Step-by-Step Answer:
(b)

Question 4 Maharashtra Board Solution
Price Index Number by Weighted Aggregate Method is given by
Solution & Step-by-Step Answer:
(c)

Question 5 Maharashtra Board Solution
Quantity Index Number By Weighted Aggregate Method is given by
Solution & Step-by-Step Answer:
(c)

Question 6 Maharashtra Board Solution
Value Index Number by Weighted aggregate Method is given by
Solution & Step-by-Step Answer:
(d)

Question 7 Maharashtra Board Solution
Laspeyre’s Price Index Number is given by
Solution & Step-by-Step Answer:
(c)

Question 8 Maharashtra Board Solution
Paassche’s Price Index Number is given by
Solution & Step-by-Step Answer:
(d)

Question 9 Maharashtra Board Solution
Dorbish-Bowley’s Price Index Number is given by
Solution & Step-by-Step Answer:
(c)

Question 10 Maharashtra Board Solution
Fisher’s Price Number is given by
Solution & Step-by-Step Answer:
(a)

Question 11 Maharashtra Board Solution
Marshall-Edge worth’s Price Index Number is given by
Solution & Step-by-Step Answer:
(a)

Question 12 Maharashtra Board Solution
Walsh’s Price Index Number is given by
Solution & Step-by-Step Answer:
(a)

Question 13 Maharashtra Board Solution
The Cost of Living Index Number using Aggregate Expenditure Method is given by
Solution & Step-by-Step Answer:
(a)

Question 14 Maharashtra Board Solution
The Cost of Living Index Number using Weighted Relative Method is given by
Solution & Step-by-Step Answer:
(a)

(II) Fill in the blanks.

Question 1 Maharashtra Board Solution
Price Index Number by Simple Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 2 Maharashtra Board Solution
Quantity Index number by Simple Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 3 Maharashtra Board Solution
Value Index Number by Simple Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 4 Maharashtra Board Solution
Price Index Number by Weighted Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 5 Maharashtra Board Solution
Quantity Index Number by Weighted Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 6 Maharashtra Board Solution
Value Index Number by Weighted Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 7 Maharashtra Board Solution
Laspeyre’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 8 Maharashtra Board Solution
Paasche’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 9 Maharashtra Board Solution
Dorbish-Bowley’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 10 Maharashtra Board Solution
Fisher’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 11 Maharashtra Board Solution
Marshall-Edgeworth’s Price Index Number is given my ____________
Solution & Step-by-Step Answer:
Question 12 Maharashtra Board Solution
Walsh’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:

(III) State whether each of the following is True or False.

Question 1 Maharashtra Board Solution
is the Price Index Number by Simple Aggregate Method.
Solution & Step-by-Step Answer:
True
Question 2 Maharashtra Board Solution
is the Quantity Index Number by Simple Aggregate Method.
Solution & Step-by-Step Answer:
False
Question 3 Maharashtra Board Solution
is value Index Number by Simple Aggregate Method.
Solution & Step-by-Step Answer:
False
Question 4 Maharashtra Board Solution
Paasche’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 5 Maharashtra Board Solution
is Laspeyre’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 6 Maharashtra Board Solution
is Dorbish-Bowley’s Index Number.
Solution & Step-by-Step Answer:
False
Question 7 Maharashtra Board Solution
is Fisher’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 8 Maharashtra Board Solution
is Marshall-Edgeworth’s Index Number.
Solution & Step-by-Step Answer:
False
Question 9 Maharashtra Board Solution
is Walsh’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 10 Maharashtra Board Solution
is Fisher’s Price Index Number.
Solution & Step-by-Step Answer:
True

(IV) Solve the following problems.

Question 1 Maharashtra Board Solution
Find the price Index Number using simple Aggregate Method Consider 1980 as base year.
Solution & Step-by-Step Answer:

Question 2 Maharashtra Board Solution
Find the Quantity Index Number using Simple Aggregate Method.
Solution & Step-by-Step Answer:

Question 3 Maharashtra Board Solution
Find the Value Index Number using Simple Aggregate Method.
Solution & Step-by-Step Answer:
= × 100 = 121.43

Question 4 Maharashtra Board Solution
Find x if the Price Index Number using Simple Aggregate Method is 200.
Solution & Step-by-Step Answer:

Question 5 Maharashtra Board Solution
Calculate Laspeyre’s and Paasche’s Price Index Number for the following data.
Solution & Step-by-Step Answer:

Question 6 Maharashtra Board Solution
Calculate Dorbish-Bowley’s Price Index Number for the following data.
Solution & Step-by-Step Answer:

Question 7 Maharashtra Board Solution
Calculate Marshall-Edge worth’s Price Index Number for the following data.
Solution & Step-by-Step Answer:

Question 8 Maharashtra Board Solution
Calculate Walsh’s Price Index Number for the following data.
Solution & Step-by-Step Answer:

Question 9 Maharashtra Board Solution
Calculate Laspeyre’s Price Index Number for the following data.
Solution & Step-by-Step Answer:

Question 10 Maharashtra Board Solution
Find x if Laseyre’s Price Index Number is same as Paasche’s Price Index Number for the following data.
Solution & Step-by-Step Answer:

Question 11 Maharashtra Board Solution
Find x if Walsh’s Price Index Number is 150 for the following data.
Solution & Step-by-Step Answer:

Question 12 Maharashtra Board Solution
Find x if Paasche’s Price Index Number is 140 for the following data.
Solution & Step-by-Step Answer:

Question 13 Maharashtra Board Solution
Given that Laspeyre’s and Paasche’s Index Number are 25 and 16 respectively. Find Dorbish-Bowley’s and Fisher’s Price Index Number.
Solution & Step-by-Step Answer:
= = 20

Question 14 Maharashtra Board Solution
If Laspeyre’s and Dorbish Price Index Number are 150.2 and 152.8 respectively, find Paasche’s rice Index Number.
Solution & Step-by-Step Answer:

Question 15 Maharashtra Board Solution
If Σp0q0 = 120, Σp0q1 = 160, Σp1q1 = 140, and Σp1q0 = 200 find Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall-Edgeworth’s Price Index Numbers.
Solution & Step-by-Step Answer:

Question 16 Maharashtra Board Solution
Given that Σp0q0 = 130, Σp1q1 = 140, Σp0q1 = 160, and Σp1q0 = 200, find Laspeyare’s, Passche’s, Dorbish-Bowely’s and Mashall-Edegeworth’s Price Inbox Numbers.
Solution & Step-by-Step Answer:

Question 17 Maharashtra Board Solution
Given that Σp1q1 = 300, Σp0q1 = 140, Σp0q0 = 120, and Marshall-Edegeworth’s Price Inbox Number is 120, find Laspeyre’s Price Index Number.
Solution & Step-by-Step Answer:
p01(P) = = × 100 = 93.75
Question 18 Maharashtra Board Solution
Calculate the cost of living number for the following data.
Solution & Step-by-Step Answer:

Question 19 Maharashtra Board Solution
Find the cost living index number by the weighted aggregate method.
Solution & Step-by-Step Answer:

Question 20 Maharashtra Board Solution
Find the cost of living index number by Family Budget Method for the following data. Also, find the expenditure of a person in the year 2008 if his expenditure in the year 2005 was ₹ 10,000.
Solution & Step-by-Step Answer:

Question 21 Maharashtra Board Solution
Find x if cost of living index number is 193 for the following data.
Solution & Step-by-Step Answer:

Question 22 Maharashtra Board Solution
The cost of living number for year 2000 and 2003 are 150 and 210 respectively. A person earns ₹ 13,500 per month in the year 2000. What should be his monthly earning in the year 2003 in order to maintain the same standard of living?
Solution & Step-by-Step Answer:
CLI (2000) = 150 CLI (2003) = 210 Income (2000) = 13500 Income (2003) = ? Real Income = For 2000, Real Income = = ₹ 9000 For 2003, Real Income = ∴ 9000 = ∴ Income = = 18900 ∴ Income in 2003 = ₹ 18900